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math.NA2025
A novel interpolation-regression approach for function approximation on the disk and its application to cubature formulas
Francesco Dell'Accio, Francisco Marcellán, Federico Nudo
The interpolation-regression approximation is a powerful tool in numerical analysis for reconstructing functions defined on square or triangular domains from their evaluations at a…
math.NA2024
Constrained mock-Chebyshev least squares approximation for Hermite interpolation
Francesco Dell'Accio, Francisco Marcellán, Federico Nudo
This paper addresses the challenge of function approximation using Hermite interpolation on equally spaced nodes. In this setting, standard polynomial interpolation suffers from th…
math.NA2024
A note on Laguerre truncated polynomials and quadrature formula
Juan C. García-Ardila, Francisco Marcellán
In this contribution we deal with Gaussian quadrature rules based on orthogonal polynomials associated with a weight function supported on an interval , $…